2007/01/30 by Aleksey Cherman, Thomas D. Cohen
Physics and Astronomy · #Baryon #High-Energy Particle Collisions Research #Mathematical physics #Nonlinear system #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Soliton #Strangeness #Theoretical physics #hep-ph
paper · pdf · doi:10.1016/j.physletb.2007.05.032
published as Phys.Lett.B651:39-43,2007 · Reference added. Some change of emphasis in the discussion of the role of power counting. 5 pages
arxiv created 2007/01/30 · openalex publication_date 2007/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The standard collective quantization treatment of the strangeness content of the nucleon in chiral soliton models such as the Skyrmion is shown to be inconsistent with the semi-classical expansion on which the treatment is based. The strangeness content vanishes at leading order in the semi-classical expansion. Collective quantization correctly describes some contributions to the strangeness content at the first nonvanishing order in the expansion, but neglects others at the same order--namely, those associated with continuum modes. Moreover, there are fundamental difficulties in computing at a constant order in the expansion due to the non-renormalizable nature of chiral soliton models. Moreover, there are fundamental difficulties in computing at a constant order in the expansion due to the non-renormalizable nature of chiral soliton models and the absence of any viable power counting scheme. We show that the continuum mode contribution to the strangeness diverges, and as a result the computation of the strangeness content at leading non-vanishing order is not a well-posed mathematical problem in these models.